于洁, 祝长生, 余忠磊. 自传感电磁轴承位移解调过程的精确建模和分析[J]. 中国电机工程学报, 2016, 36(21): 5939-5946,6038. DOI: 10.13334/j.0258-8013.pcsee.152443
引用本文: 于洁, 祝长生, 余忠磊. 自传感电磁轴承位移解调过程的精确建模和分析[J]. 中国电机工程学报, 2016, 36(21): 5939-5946,6038. DOI: 10.13334/j.0258-8013.pcsee.152443
YU Jie, ZHU Zhang-sheng, YU Zhong-lei. The Precise Modeling and Analysis of Demodulation Approach in Self-sensing Active Magnetic Bearings[J]. Proceedings of the CSEE, 2016, 36(21): 5939-5946,6038. DOI: 10.13334/j.0258-8013.pcsee.152443
Citation: YU Jie, ZHU Zhang-sheng, YU Zhong-lei. The Precise Modeling and Analysis of Demodulation Approach in Self-sensing Active Magnetic Bearings[J]. Proceedings of the CSEE, 2016, 36(21): 5939-5946,6038. DOI: 10.13334/j.0258-8013.pcsee.152443

自传感电磁轴承位移解调过程的精确建模和分析

The Precise Modeling and Analysis of Demodulation Approach in Self-sensing Active Magnetic Bearings

  • 摘要: 实现自传感电磁轴承的关键在于从线圈电流信号中准确的解调出转子位置信息。受开关功放脉冲宽度调制占空比和转子位置变化等因素的影响,线圈电流信号具有复杂且时变的频谱构成。以往针对开关谐波解调型自传感电磁轴承的分析和补偿方案均建立在转子位移解调器模型完全理想的基础上,难以对解调器的实际输出特性进行准确分析。该文利用绝对值函数的余弦傅里叶级数和Jacobi-Anger恒等式,分别建立了在静态和动态线圈电流作用下,自传感解调器各环节的频域解析模型。并在四自由度径向电磁轴承刚性转子系统平台上进行了相关实验,验证了模型的有效性。结果表明,静态线圈电流作用下解调器的输出为与气隙成比例的常值,动态线圈电流作用下解调器的输出中还包含3个频率分量,且各分量的幅值和频域分布取决于转子位置和功放脉冲宽度调制占空比的变化规律。

     

    Abstract: The key point of realizing self-sensing active magnetic bearing is to extract rotor displacement information from coil current signal accurately. Affected by the variation of switching power amplifier’s pulse width modulation(PWM) duty cycle and rotor position, the coil current has complex and time-varying frequency spectrum. Former analysis and compensation methods of the switching harmonics demodulation type self-sensing active magnetic bearings are mainly based on a completely ideal rotor displacement demodulator model, so that it is difficult to precisely analyze the real demodulator’s output property. By utilizing the cosine Fourier series of the absolute value function and Jacobi-Anger identity, we established the frequency domain analytical model of each part of the self-sensing demodulator under static and dynamic coil current. Then the model is validated by experiment on a 4-DOF radial active magnetic bearing rigid rotor system platform. It is shown that the output of the demodulator under static coil current is the constant value which is proportional to air gap of active magnetic bearing. While the demodulator’s output under dynamic coil current includes three components, whose amplitude and distribution in frequency domain depend on the rotor position and the PWM duty cycle’s change of power amplifier.

     

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